EDUCBA Logo

EDUCBA

MENUMENU
  • Explore
    • EDUCBA Pro
    • PRO Bundles
    • Featured Skills
    • New & Trending
    • Fresh Entries
    • Finance
    • Data Science
    • Programming and Dev
    • Excel
    • Marketing
    • HR
    • PDP
    • VFX and Design
    • Project Management
    • Exam Prep
    • All Courses
  • Blog
  • Enterprise
  • Free Courses
  • Log in
  • Sign Up
Home Finance Finance Resources Finance Formula Exponential Growth Formula
 

Exponential Growth Formula

Madhuri Thakur
Article byMadhuri Thakur

Exponential Growth Formula

Exponential Growth Formula (Table of Contents)
  • Exponential Growth Formula
  • Examples of Exponential Growth Formula (With Excel Template)
  • Exponential Growth Calculator

Exponential Growth Formula

Exponential growth and decay are the two functions to determine the growth and decay in a stated pattern. If you’re searching for help understanding these concepts, a math tutor near me can provide personalized guidance. Exponential growth and decay formulas can be used in a particular situation if a quantity grows at regular intervals; the pattern of the function can be depicted and summarized in an algebraic equation.

The exponential growth formula can be mentioned as:-

 

 

Exponential Growth (y) = a * (1 + r) ^x

Whereas on the other hand exponential decay formula can be mentioned as

Watch our Demo Courses and Videos

Valuation, Hadoop, Excel, Mobile Apps, Web Development & many more.

Exponential Decay (y) = a * (1 – r) ^x

Where the following integers can be stated as:-

  • a = Initial growth (the amount before measuring growth or decay)
  • r = Growth or Decay rate (most often represented as a percentage and expressed as a decimal)
  • x = Number of time intervals that have passed

Examples of Exponential Growth Formula (With Excel Template)

Let’s take an example to understand the calculation of Exponential Growth in a better manner.

You can download this Exponential Growth Excel Template here – Exponential Growth Excel Template

Exponential Growth – Example #1

The population of a hometown in Scotland in 2019 was estimated to be 35,000 in that year. The population is expected to grow with an annual increase of 2.4% every year. What is the growth factor of home town in Scotland and use the estimate to calculate the population of the hometown for the next 4 years?

Exponential Growth Example 1-1

Solution:

Exponential Growth is calculated using the formula given below

Exponential Growth (y) = a * (1 + r) ^x

Calculation of Example 1

  • Exponential Growth = 35,000 * (1+ 2.4%)^4
  • Exponential Growth = 38,482.91

Exponential Growth is 38,482.91

Exponential Growth – Example #2

In 2021 there are around 3000 inhabitants in a small remote village near the Himachal area. The average annual growth rate of population in the past 3 years is 12% every year. How many residents will be there in the village after 10 years? Need to calculate the value through the exponential growth.

Exponential Growth Example 2-1

Solution:

Exponential Growth is calculated using the formula given below

Exponential Growth (y) = a * (1 + r) ^x

Calculation of Example 2

  • Exponential Growth = 3,000 * (1 + 12%) ^3
  • Exponential Growth = 4,214.78

Exponential Growth is 4,214.78.

Exponential Growth – Example #3

A certain type of bacteria, given a favorable grows at a rate of 10%. Given that there were approximately 100 bacteria to start with, how many bacteria will there be in a day and a half?

Exponential Growth Example 3-1

Solution:

Exponential Growth is calculated using the formula given below

Exponential Growth (y) = a * (1 + r) ^x

Exponential Growth Example 3-2

  • Exponential Growth = 100 * (1 + 10%) ^36
  • Exponential Growth = 3,091.27

Exponential Growth is 3,091.27.

Explanation

The formula is used where there is continuous growth in a particular variable such population growth, bacteria growth, if the quantity or can variable grows by a fixed percentage then the exponential formula can come in handy to be used in statistics

Relevance and Uses of Exponential Growth Formula

  • The concept of exponential growth is mostly used in the concept of modeling and the growth of economics. If we want to find what will be the revenue of the company if it is a growing at a constant rate of x% then we often use the exponential growth and its concept to determine the revenue of the company which is growing at a certain percentage of growth rate
  • The exponential function also appears in a variety of contexts within physics, chemistry, engineering, mathematical biology, and economics also it is prevalent in natural and social science concepts
  • The exponential formula is an important function in mathematics also and it has been derived from the help of mathematics and economics only. The exponential decay formula is useful in a variety of real-world applications, most notably for tracking inventory that’s used regularly in the same quantity (like food for a school cafeteria) and it is especially useful in its ability to quickly assess the long-term cost of use of a product over time

Exponential Growth Calculator

You can use the following Exponential Growth Calculator

a
r
x
Exponential Growth(y) Formula
 

Exponential Growth(y) Formula = a * (1 + r)x
= 0 * (1 + 0)0 = 0

Recommended Articles

This has been a guide to Exponential Growth formula. Here we discuss how to calculate Exponential Growth along with practical examples. We also provide an Exponential Growth calculator with downloadable excel template. You may also look at the following articles to learn more –

  1. Guide to Gordon Growth Model Formula
  2. How to Calculate Contribution Margin?
  3. Formula for Net Income
  4. Calculation of Perpetuity Formula

Primary Sidebar

Footer

Follow us!
  • EDUCBA FacebookEDUCBA TwitterEDUCBA LinkedINEDUCBA Instagram
  • EDUCBA YoutubeEDUCBA CourseraEDUCBA Udemy
APPS
EDUCBA Android AppEDUCBA iOS App
Blog
  • Blog
  • Free Tutorials
  • About us
  • Contact us
  • Log in
Courses
  • Enterprise Solutions
  • Free Courses
  • Explore Programs
  • All Courses
  • All in One Bundles
  • Sign up
Email
  • [email protected]

ISO 10004:2018 & ISO 9001:2015 Certified

© 2025 - EDUCBA. ALL RIGHTS RESERVED. THE CERTIFICATION NAMES ARE THE TRADEMARKS OF THEIR RESPECTIVE OWNERS.

EDUCBA

*Please provide your correct email id. Login details for this Free course will be emailed to you
Loading . . .
Quiz
Question:

Answer:

Quiz Result
Total QuestionsCorrect AnswersWrong AnswersPercentage

Explore 1000+ varieties of Mock tests View more

EDUCBA

*Please provide your correct email id. Login details for this Free course will be emailed to you
EDUCBA
Free Investment Banking Course

Corporate Valuation, Investment Banking, Accounting, CFA Calculator & others

By continuing above step, you agree to our Terms of Use and Privacy Policy.
*Please provide your correct email id. Login details for this Free course will be emailed to you
EDUCBA

*Please provide your correct email id. Login details for this Free course will be emailed to you

EDUCBA

Download Exponential Growth Excel Template

EDUCBA Login

Forgot Password?

EDUCBA

डाउनलोड Exponential Growth Excel Template

🚀 Limited Time Offer! - 🎁 ENROLL NOW